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Finding the Fourth Proportional to 18,540.60, 27,814.43 and 7,448.14

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Solution

The fourth proportional to 18,540.60, 27,814.43 and 7,448.14 is: 11,173.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,540.60 : 27,814.43 = 7,448.14 : x
  2. Step 2: Convert to fraction form
    18,540.60/27,814.43 = 7,448.14/x
  3. Step 3: Cross multiply
    18,540.60x = 27,814.43 × 7,448.14
  4. Step 4: Simplify right side
    18,540.60x = 207,165,768.66
  5. Step 5: Solve for x
    x = 207,165,768.66/18,540.60
  6. Step 6: Final answer
    x = 11,173.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.